Title :
Hyperbolic QR factorization for J-spectral factorization of polynomial matrices
Author :
Henrion, Didier ; Hipp, Peter
Author_Institution :
Lab. d´´ Anal. et d´´Archit. des Syst., Centre Nat. de la Recherche Sci., Toulouse, France
Abstract :
Motivated by a superfluous zero extraction problem arising in the discrete-time J-spectral factorization of polynomial matrices, we propose an algorithmic solution to hyperbolic QR factorization of a rank deficient constant matrix. Application to reduced-order H∞ filtering is illustrated by a numerical example.
Keywords :
discrete time systems; matrix decomposition; polynomial matrices; reduced order systems; discrete time J-spectral factorization; hyperbolic QR factorization; polynomial matrices; rank deficient constant matrix; reduced order H∞ filtering; superfluous zero extraction problem; Algorithm design and analysis; Application software; Control systems; Design methodology; Filtering; Filters; Polynomials; Riccati equations; State estimation; State-space methods;
Conference_Titel :
Decision and Control, 2003. Proceedings. 42nd IEEE Conference on
Print_ISBN :
0-7803-7924-1
DOI :
10.1109/CDC.2003.1271685
